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Finding the Fourth Proportional to 49,391, 68,159.58 and 27,035

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Solution

The fourth proportional to 49,391, 68,159.58 and 27,035 is: 37,308.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,391 : 68,159.58 = 27,035 : x
  2. Step 2: Convert to fraction form
    49,391/68,159.58 = 27,035/x
  3. Step 3: Cross multiply
    49,391x = 68,159.58 × 27,035
  4. Step 4: Simplify right side
    49,391x = 1,842,694,245.30
  5. Step 5: Solve for x
    x = 1,842,694,245.30/49,391
  6. Step 6: Final answer
    x = 37,308.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.